. In the figure, if ∠D = ∠C, then is it true that ∆ADE ~ ∆ACB? Why?
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hi mates this is ur answer..
Answer:
(True)
In ∆ADE and ∆ACB,
Given,
∠D = ∠C
∠A = ∠A [common angle]
As we know sum of all the angles of a triangle is equals to 180∘.
So, by angle sum property of triangle the third angle of both triangles must be equal.
∠E = ∠B
∴ ∆ADE ∼ ∆ACB [by AAA similarity criterion].
hope this helps u..
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